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A set theoretic treatment of coherent systems (June 1971)



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Author: Butterworth, Richard Wesley, 1942-
Subject: INFANTRY DRILL AND TACTICS--COMPUTER SIMULATION.; COMPUTERIZED SIMULATION, HUMAN FACTORS ENGINEERING, BEHAVIOR, FREQUENCY
Publisher: Monterey, California : Naval Postgraduate School
Language: en_US
Call number: ocn434476824
Digitizing sponsor: Naval Postgraduate School, Dudley Knox Library
Book contributor: Naval Postgraduate School, Dudley Knox Library
Collection: navalpostgraduateschoollibrary; fedlink; americana

Full catalog record: MARCXML

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Description

Title from cover

"June 1971"--Cover

"NPS-55BD71062A"--Cover

DTIC Identifiers: Modules (mathematics), blocking systems (mathematics)

Author(s) key words: Coherent systems, modules, blocking systems, simple games

Includes bibliographical references (p. 17)

Technical report; 1971

The paper develops properties of coherent systems from a set theoretic viewpoint with particular emphasis on modules of coherent systems. The methods used here demonstrate concisely the previously reported properties of modules as well as some new properties. Specifically, min path sets and min cut sets of a coherent system are given several characterizations. The modularity of a subset of components is given a new characterization which is used as a definition. The situation under which a set and its complement are simultaneously modules is characterized. Finally, the established three modules theorem is given a new proof. (Author)


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Format_extent: 20 p. ; 28 cm.
Identifier_oclc: ocn434476824
Type: Technical Report
Identifier_npsreport: NPS-55BD71062A
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Subject_author: Coherent systems, modules, blocking systems, simple games.
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